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Finding the Fourth Proportional to 15,237, 22,858.38 and 7,029

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Solution

The fourth proportional to 15,237, 22,858.38 and 7,029 is: 10,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237 : 22,858.38 = 7,029 : x
  2. Step 2: Convert to fraction form
    15,237/22,858.38 = 7,029/x
  3. Step 3: Cross multiply
    15,237x = 22,858.38 × 7,029
  4. Step 4: Simplify right side
    15,237x = 160,671,553.02
  5. Step 5: Solve for x
    x = 160,671,553.02/15,237
  6. Step 6: Final answer
    x = 10,544.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.